Moreover, the \(q-\)  deformed generalized Jacobi identity is given by [1]}, [2]}:
\(\epsilon ^{i_{1},\ldots ,i_{2n-1}}_{n_{1},\ldots ,n_{2n-1}}\big [\big [l_{i_1},\ldots ,l_{i_{2n-1}}\big ]_{q},l_{i_{n+1}},\ldots , l_{i_{2n-1}}\big ]_q=0.\) 
